Q box is 20 cm x 20 cm x 20 cm. What is the surface area of the largest size sphere that can fit in this box leave your answer in terms of pi
To find the surface area of the largest size sphere that can fit in the box, we need to determine the diameter of the sphere.
The diameter of the sphere will be equal to the smallest side length of the box, which is 20 cm.
The radius of the sphere (half the diameter) is therefore 20 cm / 2 = 10 cm.
The formula to calculate the surface area of a sphere is: A = 4πr², where A represents the surface area and r represents the radius.
Substituting the value of the radius, we have: A = 4π(10 cm)²
A = 4π(100 cm²)
Simplifying, we find that the surface area of the largest size sphere that can fit in the box is 400π cm².